{
  "annotation_id": "2976e7f6-1ed1-4e49-bf78-df29a983ebbd",
  "date_created": "2026-03-02T18:00:53.292000Z",
  "date_modified": "2026-03-02T18:00:53.292000Z",
  "file_hash": "cd11716c506603ba8197b5d40c4b3a19ef6d71e829cb5bd697925827ebc9cd7a",
  "private": false,
  "record": {
    "abstract": "A time-domain approach is proposed for the propagation of ultrashort electro-\nmagnetic wave packets beyond the paraxial and the slowly-varying-envelope\napproximations. An analytical method based on perturbation theory is used to\nsolve the wave equation in free space without resorting to Fourier trans-\nforms. An exact solution is obtained in terms of successive temporal and\nspatial derivatives of a monochromatic paraxial beam. The special case of a\nradially polarized transverse magnetic wave packet is discussed.",
    "arxiv_id": "physics/0411162",
    "authors": [
      "Charles Varin",
      "Michel Pich\u00e9"
    ],
    "categories": [
      "physics.optics"
    ],
    "title": "Propagation of ultrashort electromagnetic wave packets in free space   beyond the paraxial and slowly-varying-envelope approximations : a   time-domain approach",
    "url": "https://arxiv.org/abs/physics/0411162"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c6daf714-c55e-45fa-8bac-bb54519ea8f5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}